2(3x+8)=-2(2-x)

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Solution for 2(3x+8)=-2(2-x) equation: 


Simplifying
2(3x + 8) = -2(2 + -1x)

Reorder the terms:
2(8 + 3x) = -2(2 + -1x)
(8 * 2 + 3x * 2) = -2(2 + -1x)
(16 + 6x) = -2(2 + -1x)
16 + 6x = (2 * -2 + -1x * -2)
16 + 6x = (-4 + 2x)

Solving
16 + 6x = -4 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
16 + 6x + -2x = -4 + 2x + -2x

Combine like terms: 6x + -2x = 4x
16 + 4x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 4x = -4 + 0
16 + 4x = -4

Add '-16' to each side of the equation.
16 + -16 + 4x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = -4 + -16
4x = -4 + -16

Combine like terms: -4 + -16 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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